| The Measure-Preserving Shift on the Cantor Set |
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| 作者单位： | Department of Mathematics，Nanjing University，Nanjing，210093 |
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| 摘 要： | ＴｈｅＭｅａｓｕｒｅ┐ＰｒｅｓｅｒｖｉｎｇＳｈｉｆｔｏｎｔｈｅＣａｎｔｏｒＳｅｔ＊）ＺｅｎｇＦａｎＰｉｎｇ＊＊）（曾凡平）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ，２１００９３）Ａｂｓｔｒａ...
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The Measure Preserving Shift on the Cantor Set |
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| Authors: | Zeng FanPing |
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| Abstract: | In this paper, we construct a class of measure preserving transformations on a Cantor set which are isomorphic to the one sided shift, and obtain a strong mixing one sided ( p,P ) Markov shift on the Cantor set. |
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| Keywords: | Shift ( p P ) Markov Shift Isomorphism of Measure preserving Transformation |
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